by Ricardo Chacón (University of Extremadura, Spain)

Table of Contents (77k)
Chapter 1: Introduction (966k)

This monograph presents a reasonably rigorous theory of a highly relevant chaos control method: suppression–enhancement of chaos by weak periodic excitations in low-dimensional, dissipative and non-autonomous systems. The theory provides analytical estimates of the ranges of parameters of the chaos-controlling excitation for suppression–enhancement of the initial chaos.

The important applications of the theory presented in the book include: (1) control of chaotic escape from a potential well; (2) suppression of chaos in a driven Josephson junction; (3) control of chaotic solitons in Frenkel–Kontorova chains; (4) control of chaotic breather dynamics in perturbed sine-Gordon equations; (5) control of chaotic charged particles in electrostatic wave packets.

• Theoretical Approach
• Physical Mechanisms
• Applications: Low-Dimensional Systems
• Applications: High-Dimensional Systems
• Further Remarks and Open Problems